Labour for one, gathers information dealing with equality (6)
I believe the answer is:
parity
'equality' is the definition.
(I know that parity is a type of equivalence)
'labour for one gathers information dealing' is the wordplay.
I cannot really see how this works, but
'one' could be 'i' (Roman numeral) and 'i' is found within the answer.
'labour' could be 'party' (the Labour Party is an example) and 'party' is located in the leftover letters.
This accounts for all the letters.
This may be the basis of the clue (or it may be nonsense).
'with' is the link.
Can you help me to learn more?
(Other definitions for parity that I've seen before include "Equality in status" , "state of equality" , "Beginner" , "equal treatment" , "Correspondence" .)